A graphical user interface system is described in which users can be located at any angle. Different application interfaces can be generated on the display to appear in different orientations, such that different users sitting at different positions around the periphery of a display surface may each have an interface that is readable and accessible. The location and orientation of a new interface may be specified by user request, or may be automatically determined based on a characteristic of the request, such as the location of a tap or the direction of a swipe gesture. Interfaces may be radial in nature, and may have a central origin on the display, or at corners of the display.